Finance

Physics

Quantum harmonic oscillator

Gravitation

Eigenfunction

Mathematics

Harmonic oscillator

Politics

Political science

Uncertainty principle

Order (exchange)

Eigenvalues and eigenvectors

Position (finance)

Economics

Representation (politics)

Theoretical physics

Quantum mechanics

Momentum (technical analysis)

Classical mechanics

Quantum

The European Physical Journal C

In this paper we present a new higher order generalized (gravitational) uncertainty principle (GUP*) which has the maximal momentum as well as the minimal length. We discuss the position representation and momentum representation. We also discuss the position eigenfunction and maximal localization states. As examples we discuss one dimensional box problem and harmonic oscillator problem.

A new higher order GUP: one dimensional quantum system